Fundamentals of mathematical analysis
- Oxford : Oxford University Press, 2021
- xv, 462 p. ; ill., 24 cm
Includes bibliographical references and index.
This volume explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces.
9780198868798
Mathematical analysis Arzela-Ascoli theorem Banach space Bounded set Caratheodary's theorem Compact operator Contraction mapping theorem De Morgan's laws Disjoint family Egoroff's theorem Finite-dimensional space Fredholm alternative theorem Gelfand's theorem Hilbert space Indexed set Krein-Millman theorem Lebesgue measure Metric space Nowhere dense set Open set Riemann integral Space-filling curve Topology Uniqueness theorem Vector space